Results 21 to 30 of about 13,123 (205)

A univalency criterion.

Michigan Mathematical Journal, 1985
Let f be meromorphic and locally univalent in the upper half plane U with Schwarzian derivative S(f,z). Suppose that \(| 2(Im z)S(f,z)-c(c- 1)| \leq k| c|\) for all \(z\in U\).
Anderson, J. M., Hinkkanen, A.
openaire   +3 more sources

New Subclass of Convex Functions Concerning Infinite Cone [PDF]

Sahand Communications in Mathematical Analysis
We introduce a new subclass of convex functions as follows:\[  \mathcal{K}_{IC}:=\left\{f\in \mathcal{A}:{\rm  Re}\left(1+\frac{zf''(z)}{f'(z)}\right)>\left|f'(z)-1\right|,\quad  |z|
Fatolah Hasanvand, Shahram Najafzadeh, Ali Ebadian   +2 more
doaj   +1 more source

Gamma-Bazilevič Functions

Mathematics, 2020
For γ ≥ 0 and α ≥ 0 , we introduce the class B 1 γ ( α ) of Gamma−Bazilevič functions defined for z ∈ D by R e z f ′ ( z ) f ( z ) 1 − α
Sa’adatul Fitri, Derek K. Thomas
doaj   +1 more source

Bicategories in univalent foundations [PDF]

, 2019
We develop bicategory theory in univalent foundations. Guided by the notion of univalence for (1-)categories studied by Ahrens, Kapulkin, and Shulman, we define and study univalent bicategories.
Maggesi, M., Ahrens, B., Weide, N.M. van der, Frumin, Dan, Ahrens, Benedikt; id_orcid, Frumin, D., van der Weide, Niels, Maggesi, Marco, Ahrens, Benedikt, Geuvers, H.   +9 more
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Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions [PDF]

, 2022
summary:We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions.
Frasin, Basem Aref, Wanas, Abbas Kareem
core   +1 more source

Properties of Functions Involving Struve Function

Mathematics, 2018
Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with
Jonathan Aaron Azlan Mosiun, Suzeini Abdul Halim   +1 more
doaj   +1 more source

Bi-Univalent Problems Involving Generalized Multiplier Transform with Respect to Symmetric and Conjugate Points

Fractal and Fractional, 2022
In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points.
Jamiu Olusegun Hamzat, Matthew Olanrewaju Oluwayemi, Alina Alb Lupaş, Abbas Kareem Wanas   +3 more
doaj   +1 more source

Majorization for certain classes of meromorphic functions defined by integral operator [PDF]

, 2016
Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by ...
Goyal, S. P., Goswami, Pranay
core   +1 more source

The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions. [PDF]

, 2003
Several special classes of univalent functions f in the unit disk U are characterized by the quantity zf'(z)/ f (z) lies in a given region in the right-half plane.
M. Ali, Rosihan
core   +1 more source

ON NORMALIZED RABOTNOV FUNCTION ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS

Проблемы анализа, 2023
In this paper, we investigate some sufficient conditions for the normalized Rabotnov function to be in certain subclasses of analytic and univalent functions. The usefulness of the results is depicted by some corollaries and examples.
S. Sumer Eker, B. ¸Seker, S. Ece
doaj